Question

In the algebraic expression, $11x+33\times 3=\frac{1892}{2}$, the value of unknown is

• A. 75
• B. 76
• C. 77
• D. 78

Answer 1

The correct option is C 77

Given, $11x+33\times 3=\frac{1892}{2}$
We need to solve $x$ by isolating it on one side of the equation.

Step 1: Simplify each side of the equation as much as possible.
$\Rightarrow 11x+33\times 3=\frac{1892}{2}$
$\Rightarrow 11x+99=946$

Step 2: Subtract both sides of the equation with 99 to eliminate the constant on the left side of the equation.
$\Rightarrow 11x+99-99=946-99\Rightarrow 11x=847$

Step 3: Make the coefficient of the variable term equal to 11 by dividing from 11 on both the sides.
$\Rightarrow \frac{11x}{11}=\frac{847}{11}\Rightarrow x=77$

Hence, x = 77